84379680 has 288 divisors, whose sum is σ = 359468928. Its totient is φ = 17510400.

The previous prime is 84379679. The next prime is 84379693. The reversal of 84379680 is 8697348.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110500 + ... + 111260.

It is an arithmetic number, because the mean of its divisors is an integer number (1248156).

Almost surely, 2^84379680 is an apocalyptic number.

84379680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84379680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179734464).

84379680 is an abundant number, since it is smaller than the sum of its proper divisors (275089248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84379680 is a wasteful number, since it uses less digits than its factorization.

84379680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 84379680 is about 9185.8412788378. The cubic root of 84379680 is about 438.6107698579.

The spelling of 84379680 in words is "eighty-four million, three hundred seventy-nine thousand, six hundred eighty".